823383550080 has 3072 divisors, whose sum is σ = 4000776192000. Its totient is φ = 158018273280.

The previous prime is 823383550043. The next prime is 823383550091. The reversal of 823383550080 is 80055383328.

823383550080 is a `hidden beast` number, since 8 + 2 + 3 + 38 + 35 + 500 + 80 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6483334977 + ... + 6483335103.

It is an arithmetic number, because the mean of its divisors is an integer number (1302336000).

Almost surely, 2^823383550080 is an apocalyptic number.

823383550080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823383550080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000388096000).

823383550080 is an abundant number, since it is smaller than the sum of its proper divisors (3177392641920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

823383550080 is a wasteful number, since it uses less digits than its factorization.

823383550080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 823383550080 in words is "eight hundred twenty-three billion, three hundred eighty-three million, five hundred fifty thousand, eighty".